8(2y+5)=12y-(2Y+14)

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Solution for 8(2y+5)=12y-(2Y+14) equation: 


Simplifying
8(2y + 5) = 12y + -1(2Y + 14)

Reorder the terms:
8(5 + 2y) = 12y + -1(2Y + 14)
(5 * 8 + 2y * 8) = 12y + -1(2Y + 14)
(40 + 16y) = 12y + -1(2Y + 14)

Reorder the terms:
40 + 16y = 12y + -1(14 + 2Y)
40 + 16y = 12y + (14 * -1 + 2Y * -1)
40 + 16y = 12y + (-14 + -2Y)

Reorder the terms:
40 + 16y = -14 + -2Y + 12y

Solving
40 + 16y = -14 + -2Y + 12y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-12y' to each side of the equation.
40 + 16y + -12y = -14 + -2Y + 12y + -12y

Combine like terms: 16y + -12y = 4y
40 + 4y = -14 + -2Y + 12y + -12y

Combine like terms: 12y + -12y = 0
40 + 4y = -14 + -2Y + 0
40 + 4y = -14 + -2Y

Add '-40' to each side of the equation.
40 + -40 + 4y = -14 + -40 + -2Y

Combine like terms: 40 + -40 = 0
0 + 4y = -14 + -40 + -2Y
4y = -14 + -40 + -2Y

Combine like terms: -14 + -40 = -54
4y = -54 + -2Y

Divide each side by '4'.
y = -13.5 + -0.5Y

Simplifying
y = -13.5 + -0.5Y

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